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Question

GI−→
bisects ∠DGH
so that m∠DGI
is x−3
and m∠IGH
is 2x−13
. Find the value of x.

(2 points)

Answer 1

Since GI bisects ∠DGH, that means ∠DGI and ∠IGH are congruent.

Therefore, we have the equation:

x - 3 = 2x - 13

To solve for x, we can subtract x from both sides of the equation:

-x + x - 3 = 2x - x - 13

Simplifying:

-3 = x - 13

Next, we can add 13 to both sides of the equation:

-3 + 13 = x - 13 + 13

Simplifying:

10 = x

Thus, the value of x is 10.